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Finding the Fourth Proportional to 159,908.31, 239,820.63 and 47,558.27

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Solution

The fourth proportional to 159,908.31, 239,820.63 and 47,558.27 is: 71,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,908.31 : 239,820.63 = 47,558.27 : x
  2. Step 2: Convert to fraction form
    159,908.31/239,820.63 = 47,558.27/x
  3. Step 3: Cross multiply
    159,908.31x = 239,820.63 × 47,558.27
  4. Step 4: Simplify right side
    159,908.31x = 11,405,453,074.01
  5. Step 5: Solve for x
    x = 11,405,453,074.01/159,908.31
  6. Step 6: Final answer
    x = 71,324.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.